Question

Each pair of points can be graphed to create a straight line. We want to find the equation (and the description, in words, of this relationship).

Answer 1

In table A, there are two pairs of points. These are (3, -5) and (4, 9) and they formed a straight line. To determine the equation of the straight line using two points, we can use the formula below.

`y-y_1=\frac{y_2-y_{1_{}}}{x_2-x_1}(x-x_1)`

Our (x₁, y₁) will be (3, -5).

Our (x₂, y₂) will be (4, 9).

Let's use these points to the formula above.

`\begin{gathered} (y--5)=(9--5)/(4-3)(x-3) \\ y+5=(14)/(1)(x-3) \\ y+5=14x-42 \\ y=14x-42-5 \\ y=14x-47 \end{gathered}`

The equation of the line in slope-intercept form is y = 14x - 47.

The equation of the line in standard form is 14x - y = 47.

Description: This means that for every value of y, it is 14 times the value of x less 47.